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Finding the Third Proportional to 3,700.69 and 5,537.11

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Solution

The third proportional to 3,700.69 and 5,537.11 is: 8,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.69 : 5,537.11 = 5,537.11 : x
  2. Step 2: Convert to fraction form
    3,700.69/5,537.11 = 5,537.11/x
  3. Step 3: Cross multiply
    3,700.69x = 5,537.11 × 5,537.11
  4. Step 4: Simplify right side
    3,700.69x = 30,659,580.23
  5. Step 5: Solve for x
    x = 30,659,580.23/3,700.69
  6. Step 6: Final answer
    x = 8,284.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.